Quality mesh generation |
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| Institution: | 1. Université de technologie de Troyes, GSM-LASMIS, BP 2060, 10010 Troyes cedex, France;1. Institute of Plasma Physics, Chinese Academy of Sciences, Hefei, Anhui, China;2. University of Science and Technology of China, Hefei, Anhui, China;1. Sorbonne Université, Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond ∂''Alembert, F-75005 Paris, France;2. INRIA Saclay Ile-de-France, Projet Gamma3, 1, rue Honoré d''Estienne d''Orves, 91126 Palaiseau, France;3. INRIA, Projet Ecuador, 2004 route des lucioles – BP 93, 06902 Sophia Antipolis Cedex, France;1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, China;2. Center for Applied Physics and Technology, Peking University, Beijing, China |
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| Abstract: | Many physical phenomena in science and engineering can be modeled by partial differential equations (PDEs) and solved by means of the Finite Element Method (FEM). Such a method uses as computational spatial support a mesh of the domain where the equations are formulated. Mesh quality is a key-point for the accuracy of numerical simulation. In this paper, we are concerned with the generation of quality (or regular) meshes. This question is a particular occurrence of a more general mesh generation issue which aims to complete meshes conforming to a pre-specified size map (such meshes being referred to as `unit' meshes). We propose a method that makes this mesh construction possible. It is based on a Delaunay advancing-front combined method: the field points are defined using an advancing-front method and are connected using a generalized Delaunay type method. Some optimization methods are also discussed. |
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